The DOI matches its Crossref record.
An Analysis of a Two-Way Model with Interaction and No Replication
Abstract
In this article the two-way array interaction model with one observation per cell is discussed. The model is given by Likelihood ratio tests are presented for two hypotheses: (1) no interaction (λ = 0) and (2) equality of treatments (τ1 = τ2 = … = τt). Also maximum likelihood estimators are given for all parameters including σ2 when λ ≠ 0.
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Citations
Cited by
Residuals and Influence in Regression.
Atkinson, A. C., Cook, R. D., & Weisberg, S. (1983) · Biometrics · doi:10.2307/2531125 · Cited by 1,904
Residuals and Influence in Regression.
Chatterjee, S., Cook, R. D., & Weisberg, S. (1984) · Journal of the American Statistical Association · doi:10.2307/2288741 · Cited by 622
Two way analysis using covarites1
Denis, J. B. (1988) · Statistics · doi:10.1080/02331888808802080 · Cited by 142
Multiplicative models for interaction in three-way ANOVA, with applications to plant breeding
van Eeuwijk, F. A., & Kroonenberg, P. M. (1998) · Biometrics · doi:10.2307/2533660 · Cited by 51
Metadata
- Authors
- Johnson, D. E., & Graybill, F. A.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1972-12
- Volume
- 67
- Issue
- 340
- Pages
- 862-868
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2072007344
- Cited by
- 216
- References
- 0
- FWCI
- 5.29
- Type
- journal article
- Language
- en
- Open access
- closed
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Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: An Analysis of a Two-Way Model with Interaction and No Replication. https://app.cochat.ai/papers/10.1080/01621459.1972.10481307
- The paper
- Johnson, D. E., & Graybill, F. A. (1972). An Analysis of a Two-Way Model with Interaction and No Replication. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1972.10481307
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
